Banach fixed-point theorem
theorem about metric spaces
Facts
7 properties- Instance of
- fixed-point theorem, theorem[4]
- Part of
- list of theorems[7]
- Discoverer or inventor
- Stefan Banach, Renato Caccioppoli[2][3]
- Maintained by WikiProject
- WikiProject Mathematics[10]
- Named after
- Stefan Banach, Renato Caccioppoli[5][6]
- Time of discovery or invention
- 1922[8]
🏷️ Also known as
en Banach–Caccioppoli fixed-point theorem
en contractive mapping theorem
en contraction mapping theorem
en BFPT
en Banach fixed-point theorem
ar مبرهنة باناخ للنقط الثابتة
cs Banachova věta o pevném bodě
de Fixpunktsatz von Banach
de BFPS
de Banachscher Fixpunktsatz
el θεώρημα σταθερού σημείου Μπάναχ
es teorema del punto fijo de Banach
fa نظریه نقطه ثابت باناخ
fi Banachin kiintopistelause
fr Théorème du point fixe de Banach
fr théorème du point fixe de Picard
he משפט נקודת השבת של בנך
hu Banach fixponttétele
id Teorema titik tetap Banach
it teorema delle contrazioni
🔖 Identifiers · 5
- OpenAlex ID
- C2780549194
- Freebase ID
- /m/0clr_
- Mathlib Declaration ID
- ContractingWith.exists_fixedPoint
- Microsoft Academic ID (discontinued)
- 2780549194
- Treccani's Enciclopedia della Matematica ID
- teorema-di-banach-caccioppoli
🔗 Connections
Discoverer or inventor 2
Instance of 2
Named after 2
Created notable works 1
Maintained by WikiProject 1
Part of 1
Studied by 1
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Summary
Banach fixed-point theorem is a fixed-point theorem[1].